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Finding the Fourth Proportional to 315,077.80, 472,616.70 and 275,711.80

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Solution

The fourth proportional to 315,077.80, 472,616.70 and 275,711.80 is: 413,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.80 : 472,616.70 = 275,711.80 : x
  2. Step 2: Convert to fraction form
    315,077.80/472,616.70 = 275,711.80/x
  3. Step 3: Cross multiply
    315,077.80x = 472,616.70 × 275,711.80
  4. Step 4: Simplify right side
    315,077.80x = 130,306,001,067.06
  5. Step 5: Solve for x
    x = 130,306,001,067.06/315,077.80
  6. Step 6: Final answer
    x = 413,567.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.